Journal of Advanced Navigation Technology (한국항행학회논문지)

The Korean Navigation Institute (한국항행학회)
권호 표지
DOI QR코드

DOI QR Code

Identification of First-order Plus Dead Time Model from Step Response Using HS Algorithm

HS 알고리즘을 이용한 계단응답으로부터 FOPDT 모델 인식

  • Lee, Tae-Bong (Department of Electronic Engineering, Gachon University)
  • 이태봉 (가천대학교 전자공학과)
  • Received : 2015.11.19
  • Accepted : 2015.12.07
  • Published : 2015.12.30
Download PDF
⟨ Previous Next ⟩

Abstract

This paper presents an application of heuristic harmony search (HS) optimization algorithm for the identification of linear continuous time-delay system from step response. Identification model is first-order plus dead time (FOPDT), which describes a linear monotonic process quite well in most chemical processes and HAVC process and is often sufficient for PID controller tuning. This recently developed HS algorithm is conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. The effectiveness of the identification method has been demonstrated through a number of simulation examples.

본 논문에서는 계단응답으로부터 시 지연을 갖는 선형 연속시스템을 식별하기 위해 HS 최적화 알고리즘을 적용에 관하여 연구하였다. 인식 모델은 1차 시 지연 모델 (FOPDT)로써, FOPDT은 많은 화학 공정과 HAVC 공정에 실효성이 있으며 PID 튜닝에도 적합하다. 최근에 개발된 HS 알고리즘은 완벽한 하모니를 찾아가는 음악적 과정을 개념화 한 것이다. 수학을 기반으로 하는 전통적 기법과 달리 HS는 확률적인 방법을 사용하므로 미분과 같은 수학적 접근을 필요로 하지 않는다. 제시된 인식 방법의 효과를 입증하기 위해 많은 수치 예를 수행하여 결과를 제시하였다.

Keywords

References

  1. H. Kurz and W. Goedecke, “Digital parameter-adaptive control of process with unknown dead time,” Automatica, Vol. 17, No. 5, pp. 245-252, Jan. 1981. https://doi.org/10.1016/0005-1098(81)90099-6
  2. S. Sagara, and Z. Y. Zhao, "Numerical integration approach to on-line identification of continuous-time systems," Automatica, Vol. 26. No. 1,pp. 63-74, Jan. 1990. https://doi.org/10.1016/0005-1098(90)90158-E
  3. P. E. Wellstead, "Non-parametric methods of system identification," Automatica, Vol. 17, No. 1, pp.55-69, Jan. 1981. https://doi.org/10.1016/0005-1098(81)90084-4
  4. L. Ljung, "On the estimation of transfer functions," Automatica, Vol. 21, No. 6, pp 677-696. Nov. 1985. https://doi.org/10.1016/0005-1098(85)90042-1
  5. M. Yuwana and D.E. Seborg, "A new method for on-line controller tuning', American Institute of Chemical Engineers Journal, Vol. 28, No. 3, pp 434-440, May 1982. https://doi.org/10.1002/aic.690280311
  6. A. Jutan and E.S. Rodriguez II, "Extension of a new method for on-line controller tuning," Canadian Journal of Chemical Engineering, Vol. 62, pp. 802-807, Dec. 1984. https://doi.org/10.1002/cjce.5450620610
  7. K.J. Astrom, and T. Hagglund, PID Controllers: Theory, Design, and Tuning, 2nd ed. Triangle Park, NC: Instrument Society of America, 1995.
  8. Q. Bi, Q. G. Wang and C. C. Hang, "Relay-based estimation of multiple points on process frequency response," Automatica, Vol. 33, No. 9, pp 1753-1757, Sep. 1997. https://doi.org/10.1016/S0005-1098(97)00090-3
  9. F. G. Shinskey, Process Control Systems, Application, Design, and Tuning, 3rd ed., New York, NY: McGraw-Hill, 1988.
  10. T. E. Marlin, Process Control. Designing processes and Control System for Dynamic Performance, New York, NY: McGraw-Hill, 1995.
  11. R. Mamat, and P. J. Fleming, “Method for on-line identification of a first order plus dead-time process model,” Electronics Letters, Vol. 31, No. 15, pp. 1297-1298, Jul. 1995. https://doi.org/10.1049/el:19950865
  12. Gang-Wook Shin, Young-Joo Song, Tae-Bong Lee and Hong-Kyoo Choi, "Genetic algorithm for identification of time delay systems from step response," International Journal of Control, Automation and Systems, Vol. 5, pp. 79-85, Feb. 2007.
  13. Z. W. Geem, J.-H. Kim, G. V. Loganathan, "A new heuristic optimization algorithm: harmony search," Simulation, Vol. 76, No. 2, pp. 60-68, 2001 https://doi.org/10.1177/003754970107600201
  14. K. S. Lee and Z. W. Geem, “A new meta-heuristic algorithm for continues engineering optimization: harmony search theory and practice,” Computer Methods in Applied Mechanics Engineering, Vol. 194 , No. 36-38, pp. 3902-3933, Sep. 2005. https://doi.org/10.1016/j.cma.2004.09.007
  15. Z. W. Geem, “Effects of initial memory and identical harmony in global optimization using harmony search algorithm,” Applied Mathematics and Computation, Vol. 218 , No. 22, pp. 11337-11343, Jul. 2012. https://doi.org/10.1016/j.amc.2012.04.070
  16. Z. W. Geem, Recent Advances in Harmony Search Algorithm , Warsaw: Poland, Springer-Verlag, 2010

Cited by

  1. Identification of Continuous System from Step Response using HS Optimization Algorithm vol.65, pp.4, 2016, https://doi.org/10.5370/KIEEP.2016.65.4.292